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Simplifying 3 + -4(2x + 4) = 7x + -9 Reorder the terms: 3 + -4(4 + 2x) = 7x + -9 3 + (4 * -4 + 2x * -4) = 7x + -9 3 + (-16 + -8x) = 7x + -9 Combine like terms: 3 + -16 = -13 -13 + -8x = 7x + -9 Reorder the terms: -13 + -8x = -9 + 7x Solving -13 + -8x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + -8x + -7x = -9 + 7x + -7x Combine like terms: -8x + -7x = -15x -13 + -15x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -15x = -9 + 0 -13 + -15x = -9 Add '13' to each side of the equation. -13 + 13 + -15x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = -9 + 13 -15x = -9 + 13 Combine like terms: -9 + 13 = 4 -15x = 4 Divide each side by '-15'. x = -0.2666666667 Simplifying x = -0.2666666667
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